Criterion for thermal explosion with reactant consumption in a dusty gas

V. Gol'dshtein, A. Zlnoviev, V. Sobolev, E. Shchepakina

Research output: Contribution to journalArticlepeer-review

51 Scopus citations


The thermal explosion problem in a dusty gas is investigated. Dynamical regimes of the system are classified: slow regimes, thermal explosion with delay, thermal explosion (without delay). The critical transition conditions for the different dynamical regimes are analysed. We emphasize that the critical condition for transition between slow regimes and explosion with delay is a thermal explosion limit. The thermal explosion limit is described in the phase space by a so-called duck-trajectory. (The notion of duck-trajectory was introduced by Cartier for detailed investigation of relaxation oscillations.)

Original languageEnglish
Pages (from-to)2103-2119
Number of pages17
JournalProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Issue number1952
StatePublished - 1 Jan 1996

ASJC Scopus subject areas

  • Mathematics (all)
  • Engineering (all)
  • Physics and Astronomy (all)


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